[go: up one dir, main page]
More Web Proxy on the site http://driver.im/

TW201100338A - Control of the bow of a glass ribbon - Google Patents

Control of the bow of a glass ribbon Download PDF

Info

Publication number
TW201100338A
TW201100338A TW099119520A TW99119520A TW201100338A TW 201100338 A TW201100338 A TW 201100338A TW 099119520 A TW099119520 A TW 099119520A TW 99119520 A TW99119520 A TW 99119520A TW 201100338 A TW201100338 A TW 201100338A
Authority
TW
Taiwan
Prior art keywords
strip
subspace
difference
gas
average
Prior art date
Application number
TW099119520A
Other languages
Chinese (zh)
Other versions
TWI461373B (en
Inventor
Steven Roy Burdette
Original Assignee
Corning Inc
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Corning Inc filed Critical Corning Inc
Publication of TW201100338A publication Critical patent/TW201100338A/en
Application granted granted Critical
Publication of TWI461373B publication Critical patent/TWI461373B/en

Links

Classifications

    • CCHEMISTRY; METALLURGY
    • C03GLASS; MINERAL OR SLAG WOOL
    • C03BMANUFACTURE, SHAPING, OR SUPPLEMENTARY PROCESSES
    • C03B18/00Shaping glass in contact with the surface of a liquid
    • C03B18/02Forming sheets
    • C03B18/04Changing or regulating the dimensions of the molten glass ribbon
    • C03B18/06Changing or regulating the dimensions of the molten glass ribbon using mechanical means, e.g. restrictor bars, edge rollers
    • CCHEMISTRY; METALLURGY
    • C03GLASS; MINERAL OR SLAG WOOL
    • C03BMANUFACTURE, SHAPING, OR SUPPLEMENTARY PROCESSES
    • C03B17/00Forming molten glass by flowing-out, pushing-out, extruding or drawing downwardly or laterally from forming slits or by overflowing over lips
    • C03B17/06Forming glass sheets
    • C03B17/064Forming glass sheets by the overflow downdraw fusion process; Isopipes therefor
    • CCHEMISTRY; METALLURGY
    • C03GLASS; MINERAL OR SLAG WOOL
    • C03BMANUFACTURE, SHAPING, OR SUPPLEMENTARY PROCESSES
    • C03B17/00Forming molten glass by flowing-out, pushing-out, extruding or drawing downwardly or laterally from forming slits or by overflowing over lips
    • C03B17/06Forming glass sheets
    • C03B17/067Forming glass sheets combined with thermal conditioning of the sheets
    • CCHEMISTRY; METALLURGY
    • C03GLASS; MINERAL OR SLAG WOOL
    • C03BMANUFACTURE, SHAPING, OR SUPPLEMENTARY PROCESSES
    • C03B17/00Forming molten glass by flowing-out, pushing-out, extruding or drawing downwardly or laterally from forming slits or by overflowing over lips
    • C03B17/06Forming glass sheets
    • C03B17/068Means for providing the drawing force, e.g. traction or draw rollers
    • CCHEMISTRY; METALLURGY
    • C03GLASS; MINERAL OR SLAG WOOL
    • C03BMANUFACTURE, SHAPING, OR SUPPLEMENTARY PROCESSES
    • C03B23/00Re-forming shaped glass
    • C03B23/02Re-forming glass sheets
    • C03B23/023Re-forming glass sheets by bending
    • CCHEMISTRY; METALLURGY
    • C03GLASS; MINERAL OR SLAG WOOL
    • C03BMANUFACTURE, SHAPING, OR SUPPLEMENTARY PROCESSES
    • C03B33/00Severing cooled glass
    • C03B33/02Cutting or splitting sheet glass or ribbons; Apparatus or machines therefor
    • C03B33/0215Cutting or splitting sheet glass or ribbons; Apparatus or machines therefor the ribbon being in a substantially vertical plane
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02PCLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
    • Y02P40/00Technologies relating to the processing of minerals
    • Y02P40/50Glass production, e.g. reusing waste heat during processing or shaping
    • Y02P40/57Improving the yield, e-g- reduction of reject rates

Landscapes

  • Chemical & Material Sciences (AREA)
  • Engineering & Computer Science (AREA)
  • Materials Engineering (AREA)
  • Organic Chemistry (AREA)
  • Mechanical Engineering (AREA)
  • Joining Of Glass To Other Materials (AREA)
  • Separation By Low-Temperature Treatments (AREA)

Abstract

Methods for controlling the bow (shape) of a vertical glass ribbon (13) produced by a downdraw process are provided. The methods involve passing the ribbon (13) through a gas-filled vertical enclosure (23), e.g., a draw tower, whose bottom (31) is open to the atmosphere. The ribbon (13) acts as a septum that divides the enclosure's internal volume (29) into a first sub-volume (25) and a second sub-volume (27). Using the stack effect, a positive pressure difference is produced between the first sub-volume (25) and the second sub-volume (27) along at least a portion of the length of the enclosure (the DDZ). The edges of the ribbon (13) are constrained so that they do not move into the second sub-volume (27) over at least the DDZ. As a result, the ribbon bows with its concavity facing the first sub-volume (25) and its convexity facing the second sub-volume (27).

Description

201100338 六、發明說明: 【優先權主張】 本發明主張2009年6月17曰所申請之美國專利申請 案第12/486,236號的優先權,此文件之内容以及其公開 本、專利與專利文件的整體内容係藉由引用形式而併入 本文。 【發明所屬之技術領域】 本發明與由下拉程序(例如溢流熔解下拉程序)所製造 之玻璃帶體有關。更特定而言,本發明與用於控制這種 帶體的平面外(out-of-plane)弓弧之方法與設備有關,此 控制可包含使現有弓弧穩定或製造新的弓弧。 【先前技術】 如同所知’溢流熔解下拉程序是一種用於製造顯示裝 置所用之基板的主要玻璃製造程序;也如同所知,顯示 裝置係用於各種應用中’舉例而言,薄膜電晶體液晶顯 示器(TFT-LCDs)係用於筆記型電腦、平板型桌上監視 器、LCD電視以及各種通訊裝置。 許多顯示裝置(例如TFT-LCDs面板與有機發光二極 體(OLED)面板)係直接製造於平坦玻璃片(玻璃基板) 上°為增加生產速率及降低成本,—般的面板製程係在 201100338 單一基板上同時製造複數個面板。 為達到規模經濟效益,顯示器製造商需要更大的基 板,始可於個別基板上製造更多的顯示器及/或更大的二 示器。較大基板之生產為玻璃製造業的挑戰,特別是基 板厚度-般係低於i毫米(例如〇.7毫求),且目前在某些 情形中甚至低於0.3毫米。201100338 VI. OBJECTS OF THE INVENTION: [Priority Claim] The present invention claims the priority of U.S. Patent Application Serial No. 12/486,236, filed on Jun. The overall content is incorporated herein by reference. TECHNICAL FIELD OF THE INVENTION The present invention relates to a glass ribbon body manufactured by a pull-down procedure (e.g., an overflow melting pull-down procedure). More particularly, the invention relates to a method and apparatus for controlling the out-of-plane arc of such a belt, which control may include stabilizing the existing bow or creating a new bow. [Prior Art] As is known, the 'overflow melting pull-down procedure is a primary glass manufacturing process for manufacturing substrates used in display devices; as is known, display devices are used in various applications', for example, thin film transistors Liquid crystal displays (TFT-LCDs) are used in notebook computers, flat panel monitors, LCD TVs, and various communication devices. Many display devices (such as TFT-LCDs and organic light-emitting diode (OLED) panels) are fabricated directly on flat glass sheets (glass substrates). To increase production speed and reduce costs, the typical panel process is 201100338. A plurality of panels are simultaneously fabricated on the substrate. To achieve economies of scale, display manufacturers need larger substrates to create more displays and/or larger displays on individual substrates. The production of larger substrates is a challenge for the glass manufacturing industry, particularly the thickness of the substrate is generally less than i millimeters (e.g., 7 milliseconds), and is currently even less than 0.3 millimeters in some cases.

特別的挑戰是拉伸塔中玻璃帶體行為的管理問題。可 想而知,當帶體變得更寬更薄’同時下拉達兩層樓以上 的距離時,在冷卻時帶體就會承受複雜的動作與形狀。 =為顯示裝置所使用之基板的所需標準,帶體的品質部 分必須保持純淨㈣stine),因而將可能與帶體接觸的區 域限制於帶體的外邊緣(氣泡部分)處。 基於逆些考量,帶體形狀的控制問題已經成為一項嚴 格的工程挑戰。此問題可形式化為以不碰觸材料之中間 區域來控制移動材料的形狀,其中:⑴材料具有之機二 :ϋ與棉紙不同’ (li)材料係以兩公尺以上的寬度連續製 二’,以及(m)材料受到複雜的溫度與應力分佈,其將動 〜I響材料的機械特性。本發明解決了此問題,並提供 了-不接觸帶體的品質部分的方法,來形成及/或穩定垂 直玻璃帶體之平面外弓弧。。 【發明内容】 根據本發明 提供了一種用於控制由一下拉程序所製 5 201100338 成之—垂直玻璃帶體(13)之弓弧的方法。該方法包含: (a) 使該帶體(13)通過一充氣垂直之殼體(23),其中: (0該殼體(23)包含一定義一内部空間(29)之壁 體(17), (11)該内部空間(29)的底部(31)係開放,使得在 底部之壓力為周圍大氣的壓力,以及 (ill)該帶體(13)作為一隔板,其將該殼體的内部 Q 空間(29)分割為一第一子空間(25)與一第二 子空間(27); (b) 藉由(1)在該帶體(丨3)之該第一子空間(25)側上的氣 體之平均密度與(丨丨)在該帶體(13)之該第二子空間(27)側 上的氣體之平均密度之間,在沿著該殼體(23)長度之一垂 直區上方獲得的一差額,在該第一子空間(25)與該第二子 空間(27)中,沿著該殼體(23)之至少一部分的長度產生一 正壓差;其中在該帶體(13)之該第一子空間(25)侧上的平 〇 肖密度小於在該帶體(13)之該第二子空間(27)側上的平 均密度;以及 (c) 限制(21)該帶體(13)之邊緣,以避免該些邊緣移入 該第二子空間(27)的至少垂直區上方。 在上述發明内容中所使用的元件符號係僅為讀者便利 之用,而非用於、也不應被解釋為限制本發明範疇之用。 概括而言,應瞭解前述一般說明與下列詳細說明僅為本 發明示例之用,其用以提供概要或架構以瞭解本發明之 本質與特性。 6 201100338 本發明之其他特徵與優勢係於下述實施方式中加以說 明,該領域技術人士可由其瞭解並施行本發明。如附圖 式係用以提供對本發明更進一 、, 艾之瞭解,其係併入說明 書中而成為其一部分。廡知句ηΒ ία 刀應知說明書與圖式中所揭露之本 發明各種特徵係可用於任一或所有組合。 【實施方式】 Ο 〇 7 V吧聃马熔解程序、溢》: 程序、或溢流程序)而說明,應知本文所述之方法玉 2備也可應用於其他下拉式玻璃製程,例如槽式拉伸系 序。如同溶解設備為該領域所習知,其細節係省略不卖 以避免混淆示範實施例之說明。A particular challenge is the management of the behavior of the glass ribbon in the stretching tower. It is conceivable that when the strip becomes wider and thinner while pulling down the distance above two floors, the strip will undergo complex movements and shapes during cooling. = The required quality of the substrate used for the display device, the quality portion of the tape must be kept neat, so that the area that may be in contact with the tape is limited to the outer edge (bubble portion) of the tape. Based on the inverse considerations, the control of the shape of the strip has become a serious engineering challenge. This problem can be formalized to control the shape of the moving material without touching the middle region of the material, where: (1) the material has the machine 2: the crucible is different from the tissue paper' (li) the material is continuously made with a width of more than two meters. The two ', and (m) materials are subject to complex temperature and stress distributions, which will move the mechanical properties of the ~I ring material. The present invention solves this problem and provides a method of not contacting the quality portion of the belt to form and/or stabilize the out-of-plane arc of the vertical glass ribbon. . SUMMARY OF THE INVENTION In accordance with the present invention, a method for controlling the arc of a vertical glass ribbon (13) made by a pull-down program is provided. The method comprises: (a) passing the strip (13) through an inflated vertical housing (23), wherein: (0) the housing (23) includes a wall (17) defining an interior space (29) (11) the bottom (31) of the inner space (29) is open such that the pressure at the bottom is the pressure of the surrounding atmosphere, and (ill) the strip (13) acts as a partition that houses the housing The internal Q space (29) is divided into a first subspace (25) and a second subspace (27); (b) by (1) in the first subspace of the band (丨3) (25) The average density of the gas on the side is (之间) between the average density of the gas on the side of the second subspace (27) of the strip (13), along the length of the shell (23) a difference obtained above a vertical zone, in the first subspace (25) and the second subspace (27), a positive pressure difference is generated along a length of at least a portion of the casing (23); The density of the flat ridge on the side of the first subspace (25) of the strip (13) is smaller than the average density on the side of the second subspace (27) of the strip (13); and (c) the limit (21) the belt (13) Edges to prevent the edges from moving over at least the vertical region of the second subspace (27). The component symbols used in the above summary are for convenience only, and are not intended to be used and should not be construed In order to limit the scope of the invention, it is to be understood that the foregoing general description and the following detailed description Other features and advantages are described in the following embodiments, which may be understood and practiced by those skilled in the art. The accompanying drawings are intended to provide a further understanding of the present invention, which is incorporated in the specification. It is a part of the invention. The various features of the invention disclosed in the specification and drawings can be used in any or all combinations. [Embodiment] Ο 〇 7 V bar 熔 熔 melting procedure, overflow : Program, or overflow program), it should be noted that the method described in this paper can also be applied to other drop-down glass processes, such as trough stretching systems. As the dissolution apparatus is known in the art, the details are omitted and not sold to avoid obscuring the description of the exemplary embodiment.

Γ如第1圖所示,典型溶解設備利用-成形結構(隔離I (is〇Plpe))3,其包含由堰體7所定義之 一傳輸管(未示)接收熔化破璃 以 坂墦9。熔化破璃於堰體7上方 二動、並沿著隔離管的外表面向下流動,直到抵達管絲 几一 離管之二收斂側之兩片炫 化玻璃係接合在一起而形成單一 ,^ f體13。在根部下游有 觸或多組拉制滾轴(未示)與帶體的外邊 觸’並對帶體施加張力而以—典 楼 部。 受控制之速率將其拉離根 管 為保護溶化玻璃不受污 3與玻璃帶體係包含於 染、且幫助控制其溫度,隔離 殼體23内,此殼體的内表面包 201100338 含線圈排以於帶體通過殼體(向下拉伸)時控制其溫度(冷 卻速率)。第1圖與第3圖中所示截面係沿切割殼體深度 之一平面(由前向後)截取,殼體的寬度(側對側)係平行於 帶體表面,且通常寬度大於深度。As shown in Fig. 1, a typical dissolution apparatus utilizes a forming structure (Isolation I) which contains a transfer tube (not shown) defined by the body 7 to receive the molten glass. . The molten glass is moved twice above the carcass 7 and flows down the outer surface of the isolating tube until the two pieces of glazed glass that reach the converging side of the tube are joined together to form a single unit. Body 13. Downstream of the root, there are a plurality of sets of draw rollers (not shown) that are in contact with the outer edge of the strip and apply tension to the strip to the floor. The controlled rate is pulled away from the root canal to protect the molten glass from contamination 3 and the glass ribbon system is included in the dyeing, and to help control its temperature, in the isolation casing 23, the inner surface of the casing 201100338 contains the coil row The temperature (cooling rate) of the belt is controlled as it passes through the casing (drawing down). The cross-sections shown in Figures 1 and 3 are taken along one of the planes of the depth of the cutting shell (from front to back), the width of the casing (side-to-side) being parallel to the surface of the belt and generally wider than the depth.

在整體程序的一部分’必須從移動的玻璃帶體中分離 出個別玻璃片❹其一般涉及了化痕(sc〇ring)帶體以及藉 由沿著化痕線(score line)將相對於帶體表面之片材彎曲 而使化痕線下方之帶體部分(個別玻璃片)自搁置之帶體 分離,因此使片材於化痕線處從帶體斷裂。化痕與彎曲 一般是由以一移動砧片接觸帶體一側來完成、化痕另一 側、然後在化痕線處沿著砧片將片材彎曲以使其自帶體 斷裂。第i圖中元件符號19繪示了片材分離設備的一般 位置,如圖所示,分離係發生於殼體23下方。 將玻璃帶體藉由使該帶體之邊緣(而非中央)觸碰砧 片,而該帶體將沿著該處進行彎曲之化痕與斷裂程序是 需要穩定性的。玻璃的化痕係開始於-邊緣處並前進至 另-邊緣;在此程序期間邊緣需位於砧片上,使帶體不 會因化痕器擠壓而扭曲。在分離期間,裂痕開始於一或 兩邊緣處並向中央前進係較佳。若邊緣在開始彎曲時碰 觸到站片’則受到最大應力的區域也會在邊緣處,導致 裂痕從該處開始。 /炫解成形程序中,帶體通常具有數種不同形狀之穩 錢鍵〜裝程條件的變化會使帶體於這些穩定型態之間 轉變’特収對於有效硬度低、因而容U各種穩定型 8 201100338 1、之間轉變的寬且/或薄的帶體更是如此。在其他位置 中’在分離點的帶體形狀可動態改變,這些形狀上的改 變會相當巨大’使得沿著帶體的曲率將會改變其正負值 (sign) °如上所述’這些形狀上的任何或所有改變係負面 影響該分離程序’這些形狀上的改變也會影響產品特 性’在某些情形中會使玻璃片不被顧客接受。因此,在 製程中帶體需保持隨著時間之微小變化之穩定形狀。 Q 在溶解成形程序中’透過帶體溫度的操控可控制分離 點處的帶體形狀,然而,必須在分離點上方操控溫度, 因為分離設備阻礙了帶體之加熱及冷卻入口,因此,操 控帶體溫度之實用性係受到某程度之限制。透過各種物 理裝置(例如滾輪、空氣軸承與其他類似設備)亦可提供 其他的帶體形狀控制;其雖有效,但與玻璃帶實體接觸 的設備通常也降低了製程的操作窗,使其對於小製程變 數更為敏感。特別是,在帶體之邊緣上進行夾鉗是有問 〇 題的。 相較於這些習知方式,本發明㈣「㈣效應」(見下 文)而於帶體間獲得壓力差,其用於控制其弓弧,或更一 般而言’控制其形狀。應注意本發明可與前述所使用的 形狀控制技術-起使用’在特定應用中本發明之技術也 可與其他技術一起使用。 一般而言,寬玻璃帶(支撐於其垂直邊緣且頂部與底部 未受限制)係可由一側上所載之均勻壓力加以彎曲,其邊 緣係支撐(受限)於另-侧。第2圖綠示了其基本幾何形 9 201100338 狀’其中13為玻璃帶體、 的寬度、厚度與曲率半徑 限制21之平面的位移(亦 移)。 W」、「t」與「R」分別為帶體 ,而「b」為其相對於通過邊緣 即’ b為帶體的最大平面外位 假設帶體無負載,帶體因 獲得的帶體中央反射量為: 其厚度間所受壓差 ΔΡ, 而Part of the overall procedure 'must separate individual glass sheets from the moving glass ribbon, which generally involves a sc〇ring strip and will be relative to the strip by along the score line The sheet of the surface is bent such that the strip portion (individual glass sheet) under the line of the smear separates from the strand being placed, thereby causing the sheet to break from the strip at the scribe line. Marking and bending are generally accomplished by contacting the side of the strip with a moving anvil, sculpting the other side of the strip, and then bending the sheet along the anvil at the score line to break the strip. The symbol 19 of the i-th figure shows the general position of the sheet separating apparatus, and as shown, the separation occurs under the casing 23. The glass ribbon body is required to be stable by touching the edge of the strip (rather than the center) with the anvil along which the strip will be bent. The smear of the glass begins at the edge and advances to the other edge; during this procedure the edge needs to be on the anvil so that the ribbon does not twist as the stencil squeezes. During the separation, it is preferred that the crack starts at one or both edges and advances toward the center. If the edge touches the station piece when it begins to bend, the area subjected to the greatest stress will also be at the edge, causing the crack to start from there. In the dazzling forming process, the belt body usually has several different shapes of stable money keys. The change of the processing conditions will cause the belt to change between these stable types. The special collection has low effective hardness and thus various U-stability. Type 8 201100338 1. This is especially true for wide and/or thin strips that transition between them. In other positions, the shape of the strip at the separation point can be dynamically changed, and the change in these shapes can be quite large, so that the curvature along the strip will change its sign (sign) as described above. Any or all of the changes are negatively affected by the separation process 'these changes in shape will also affect the product characteristics' in some cases will make the glass piece unacceptable to the customer. Therefore, the strip needs to maintain a stable shape with small changes in time during the process. Q In the dissolution forming process, the shape of the strip at the separation point can be controlled by the manipulation of the strip temperature. However, the temperature must be manipulated above the separation point because the separation device hinders the heating and cooling of the strip and therefore the control strip The practicality of body temperature is limited to some extent. Other strip shape controls are also available through a variety of physical devices (eg, rollers, air bearings, and the like); while effective, devices that are in physical contact with the glass ribbon typically also reduce the operating window of the process, making it small Process variables are more sensitive. In particular, it is a problem to perform clamping on the edge of the belt. In contrast to these conventional modes, the present invention (4) "(4) effect" (see below) obtains a pressure difference between the belts for controlling its arc, or more generally 'controlling its shape. It should be noted that the present invention can be used in conjunction with the shape control techniques previously employed. The techniques of the present invention can also be used with other techniques in a particular application. In general, a wide glass ribbon (supported at its vertical edges and unrestricted at the top and bottom) can be bent by a uniform pressure carried on one side, the edges of which are supported (limited) to the other side. Figure 2 shows the basic geometry 9 201100338. Where 13 is the width, thickness and radius of curvature of the glass ribbon, the displacement of the plane of the limit 21 (also shift). W", "t" and "R" are respectively strips, and "b" is assumed to be unloaded with respect to the maximum plane out of the edge passing through the edge, ie b is the strip, and the strip is obtained from the center of the strip. The amount of reflection is: the pressure difference between the thicknesses is ΔΡ, and

32及3 其中E為玻璃的揚氏係數' ^為帕松比 Ratio)、而壓力差△ Ρι·2係從玻璃的凹面侧(高壓側;側 1)至其凸面側(低壓側;側2);在此式中假設帶體在頂部 與底部未受限制。上式可重新移項排列而得出為獲得一 預定反射量所需的壓力負載為: 32級332 and 3 where E is the Young's modulus of the glass ' ^ is the Passon ratio Ratio, and the pressure difference Δ Ρι · 2 is from the concave side of the glass (high side; side 1) to the convex side (low side; side 2 In this formula, it is assumed that the strip is unrestricted at the top and bottom. The above equation can be re-shifted to obtain the pressure load required to obtain a predetermined amount of reflection: 32 levels 3

5w4(l-v2) 式(2) 重要的是,經由下列計算顯示,獲得或穩定相當量之 弓弧(例如在其中央為2公分)所需的壓力並不大;舉例 而言,以具下列特性之帶體為例: 寬度 W 25 00mm 厚度 T 0.7mm 揚氏係數 E 71016Mpa 帕松比 V 0.23 201100338 所需弓弧 B 20mm 就這些數值而言,由式(2)可知ΔΡυ為〇.〇84Pa。由以 下討論得知,根據本發明,可藉由在帶體任一侧上獲得 氣體密度差而達到此壓力差及更大的壓力差。亦如同了 列討論得知,密度差係透過所謂之「煙_效應」的現象 而獲得壓力差。5w4(l-v2) Equation (2) It is important to show that the pressure required to obtain or stabilize a considerable amount of bow arc (for example, 2 cm in the center) is not large by the following calculation; for example, The following characteristics are taken as examples: Width W 25 00mm Thickness T 0.7mm Young's modulus E 71016Mpa Passon's ratio V 0.23 201100338 Required bow arc B 20mm For these values, ΔΡυ is 〇.〇 84Pa. As will be understood from the discussion below, in accordance with the present invention, this pressure differential and greater pressure differential can be achieved by obtaining a difference in gas density on either side of the strip. It is also like the discussion that the density difference is obtained by the so-called "smoke-effect" phenomenon.

在下述分析中,假設帶體作為一隔板,其將殼體内部 空間29分割為兩個子空間25、27(見第i圖與第3圖)。 子空間一般都具有相同的體積,但如需要也可具有不同 的體積。在實際上,帶體並不沿著殼體内部空間的整體 寬度延伸。如圖1所示,帶體並不需要延伸至殼體之整 體寬度H氣體可於帶體侧部邊緣及巧於帶體之上 方流動。就此而言,帶體並非一完美隔板,亦即其可被 視為一部分隔板,但可於子Μ之間提供足夠的流動隔 離’因而可保持一壓力差(在本文與申請專利範圍中,用 語「隔板」概指相對於一完美隔柘 凡吳隔扳之此一部分隔板)。基 於經驗法則,帶體應沿著至少約 有王少、、勺80%的殼體内部空間之 寬度來延伸。 依循相同方式,通常殼體23的 壁體17並非是可避免 周圍大軋與殼體内部空間29 ^ ^ β <間所有流動的完美壁 疋如帶體一樣,壁體僅需提供各子空間25、27與 周圍大氣之間足夠隔離,使子空 、 等級。 千工間内得以維持所需壓力 在實際上,填充到 二子空間的氣體— 般為相同、且為 11 201100338 空氣。然而,若因特定應用所需,也可使用空氣以外的 氣體(例如氦氣),且在帶體(隔板)兩側上的氣體可為不 同’其本身可於帶體間獲得一壓力差(見下式(7)之討論)。 如第3圖所示,第1圖之殼體可視為一簡單盒體,其 頂部封閉而底部開放,並藉由一玻璃帶體而分為兩側, 且各側填有氣體。在下文中,將帶體的第一側(其中z<〇) 稱為側1 ’並將帶體的第二側(其中z>〇)稱為側2。注意 0 在述及自帶體所分離之個別玻璃片時,侧1 一般係位於 分離設備的砧片侧,其具有較低密度/較高壓力。 當帶體各側的氣體密度不同時,將因通風空調(H vac ) 工程師所稱之「煙自效應」而獲得壓力差。關於煙囪效 應的討論可見於如文獻「ASHRAE Fundamentals Handbook」’也可見於 Wang,S.之「Handbook of Air Conditioning and Refrigeration(第二版)」(McGraw-Hill, 2001)。 o 根據煙囪效應,在殼體兩側之間的壓力差可表示為:In the following analysis, it is assumed that the belt acts as a partition which divides the internal space 29 of the casing into two sub-spaces 25, 27 (see Figures i and 3). Subspaces generally have the same volume, but can have different volumes if desired. In practice, the strip does not extend along the overall width of the interior space of the housing. As shown in Figure 1, the strip does not need to extend to the overall width of the housing. H gas can flow over the side edges of the strip and above the strip. In this regard, the belt is not a perfect partition, that is, it can be regarded as a part of the partition, but can provide sufficient flow isolation between the sub-turns, thus maintaining a pressure difference (in the scope of this application and the patent application) The term "separator" refers to this part of the partition that is opposite to a perfect barrier. Based on the rule of thumb, the strip should extend along the width of at least about 80% of the interior space of the shell. In the same manner, usually, the wall 17 of the casing 23 is not a perfect wall such as a belt body which can avoid all the flow between the surrounding large rolling and the internal space of the casing 29, and the wall body only needs to provide each subspace. 25, 27 is sufficiently isolated from the surrounding atmosphere to make the subspace and grade. The required pressure is maintained in the workshop. In practice, the gas filled into the two subspaces is generally the same and is 11 201100338 air. However, if it is required for a specific application, it is also possible to use a gas other than air (for example, helium), and the gas on both sides of the belt (separator) may be different, which itself can obtain a pressure difference between the belt bodies. (See discussion of equation (7) below). As shown in Fig. 3, the casing of Fig. 1 can be regarded as a simple casing having a closed top and a bottom open, and is divided into two sides by a glass ribbon body, and each side is filled with a gas. In the following, the first side of the strip (where z < 〇) is referred to as side 1 ' and the second side of the strip (where z > 〇) is referred to as side 2. Note 0 When referring to individual glass sheets separated from the body, side 1 is typically located on the anvil side of the separation device, which has a lower density/higher pressure. When the gas density on each side of the strip is different, the pressure difference will be obtained by the H vac engineer's "smoke effect". A discussion of the effects of chimneys can be found in the document "ASHRAE Fundamentals Handbook" or in Handbook of Air Conditioning and Refrigeration (Second Edition) by Wang, S. (McGraw-Hill, 2001). o According to the chimney effect, the pressure difference between the two sides of the housing can be expressed as:

Ρχ (y) - Pi (y) = s\\pi (y〇- a iy')W ° 式(3) 其中 y、g、Pi、P2、p!、P2 分別為: y:垂直尚度座標’其於殼體底部為零、且沿重力方向 之反方向增加 g :重力,即 9.81m/s2Ρχ (y) - Pi (y) = s\\pi (y〇- a iy')W ° where (3) where y, g, Pi, P2, p!, P2 are: y: vertical degree coordinates 'It is zero at the bottom of the shell and increases g in the opposite direction of gravity: gravity, ie 9.81m/s2

Pi :在殼體之側1上的壓力 12 201100338 P2 :在殼體之側2上的壓力Pi : pressure on the side 1 of the housing 12 201100338 P2 : pressure on the side 2 of the housing

Pi:在殼體之侧1上的氣體密度 P2 :在殼體之側2上的氣體密度 且其中在殼體底部(y=〇)處之壓力滿足下列條件: 式⑷ 乃(〇) = Α(0) 〇 由於殼體底部開放至大氣,故可用此條件。 由式(3)可知’若側1上的密度低於側2,則側1上的 壓力較高。由於在式(3)中,壓力差係因整體密度差所 致,因此不需在殼體的整個高度上保持密度差,而僅需 在整體高度之一子集上維持;將具有側丨與側2間壓力 差之單一部分或數個部分之殼體係稱為密度差異區 (Density Difference Zones)或 DDZs。為求描述方便,除 非另行指明,否則在下文中皆假設殼體僅具有單一 〇 DDZ ’實際上應瞭解殼體也可包含位於該殼體長度上方 的夕個DDZ的確,在某些例子中,殼體的整個長度都 可作為一 DDZ。 在DDZ上方’可定義平均密度差為· ytPi: gas density P2 on the side 1 of the casing: the gas density on the side 2 of the casing and the pressure at the bottom of the casing (y=〇) satisfies the following conditions: (4) is (〇) = Α (0) 可用 This condition can be used because the bottom of the case is open to the atmosphere. It is known from the formula (3) that if the density on the side 1 is lower than the side 2, the pressure on the side 1 is higher. Since in equation (3), the pressure difference is due to the difference in overall density, it is not necessary to maintain the density difference over the entire height of the casing, but only needs to be maintained on a subset of the overall height; The single or partial housing of the pressure difference between the two sides is called Density Difference Zones or DDZs. For ease of description, unless otherwise indicated, it is assumed hereinafter that the housing has only a single 〇 DDZ 'In fact, it should be understood that the housing may also include a DDZ located above the length of the housing, in some instances, The entire length of the housing can be used as a DDZ. Above the DDZ, the average density difference can be defined as · yt

Tp=y』-_____ y,-yb 式(5) 在此DDZ起始於高度yb且結束於高度yt。如上所述, 13 201100338 高度yb與yt可為殼體的底部與頂部。 「利用上述式⑴與式(3),可得與具有弓孤量(叫化_) b」之DDZ上方平均密度差有關之下式:Tp=y』-_____ y, -yb Equation (5) Here, DDZ starts at height yb and ends at height yt. As noted above, 13 201100338 heights yb and yt can be the bottom and top of the housing. "Using the above equations (1) and (3), we can get the following formula for the difference in average density above the DDZ with bowing amount (called _) b":

Ap: 32bEt3 式⑹ Ο 在DDZ上方之高度,帶體弓弧係 體中有另一 DDZ或負載其他帶體。 因不具壓差負載而未達所需弓弧; '約為「b」,除非在殼 在DDZ下方,帶體 然而依帶體特性而 定,帶體將於DDZ下方之一眚皙跖齙忐Q 「々i 貫質距離處呈現一穩定型 態。在某些實施例中’相對於製造新的弓31 ’可利用D D zAp: 32bEt3 Equation (6) Ο At the height above the DDZ, there is another DDZ or other belt in the body arch system. The required bow arc is not reached because there is no differential pressure load; 'about 'b', unless the shell is below the DDZ, the strip is depending on the strip characteristics, and the strip will be one below the DDZ. Q "The 々i exhibits a stable pattern at the cross-distance. In some embodiments, DD z can be utilized relative to the manufacture of a new bow 31'

來穩定-現有弓弧。在此例中’弓弧的方向係經選擇以 符合現有弓孤。DDZ的存在可降低帶體形狀脫離彎曲狀 態而轉換為另-個較不需要之型態的可能性。如上所 述形狀穩疋性係為一特定數值,該特定數值與個別玻 璃片由帶體之分離有關。就另_替代例而言,ddz可與 -預先存在的弓弧相對,因而有助於使帶體轉換至另一 個不同、更需要的型態。在本文中,用語「控制玻璃帶 之弓弧」係涵蓋了上述與其他為影響玻璃帶體形狀之 DDZ的應用。 用以獲得使帶體彎曲之壓力差之所需密度差可因帶體 每一側上氣體的成分所致,因此,藉由利用帶體兩側上 不同成分的氣體,即使在兩側上的溫度分佈是相同的亦 201100338 可獲得不同的密度。更一般而言,溫度差係用以獲得密 度差、繼而獲得壓力差。 在接近大氣壓力的靜態或擬靜態氣體中,密度係約略 與理想氣體定律的壓力及溫度有關:Come stable - existing bow arc. In this case, the direction of the arc is selected to conform to the existing bow. The presence of DDZ reduces the likelihood that the shape of the strip will deviate from the curved state and be converted to another, less desirable form. The shape stability as described above is a specific value which is related to the separation of the individual glass sheets from the strip. In the alternative, ddz may be opposite the pre-existing bow arc, thus helping to switch the strip to another different, more desirable pattern. In this context, the term "controlling the arc of the glass ribbon" covers the above and other applications of the DDZ that affect the shape of the glass ribbon. The required density difference for obtaining the pressure difference for bending the strip may be caused by the composition of the gas on each side of the strip, and therefore, by using gases of different compositions on both sides of the strip, even on both sides The temperature distribution is the same and also 201100338 for different densities. More generally, the temperature difference is used to obtain a difference in density, which in turn results in a pressure differential. In static or pseudo-static gases close to atmospheric pressure, the density is approximately related to the pressure and temperature of the ideal gas law:

PM I — 式⑺PM I — (7)

RT 其中: 氣體密度 Ρ 壓力 Ρ 約101325Pa=l大氣壓 分子量 Μ 空氣為 28.8kg/kmol 氣體常數 R 8314J/kmol/K 氣體溫度 Τ 若壓力變化很小(如在拉伸塔的情形中),密度可視為 僅溫度與成分之函數。成分係透過氣體的平均分子量(亦 即式(7)中的M)而影響密度。在下文中,假設在玻璃帶體 兩側的成分是相同的’因此密度僅為溫度之函數。因此, 利用式(7) ’帶體間壓力差可表示為: ⑽)-户2ω=RT where: gas density Ρ pressure Ρ about 101325Pa = l atmospheric pressure molecular weight 空气 air is 28.8kg / kmol gas constant R 8314J / kmol / K gas temperature Τ if the pressure changes little (as in the case of the stretching tower), the density can be seen It is a function of temperature and composition only. The composition affects the density by the average molecular weight of the gas (i.e., M in the formula (7)). In the following, it is assumed that the composition on both sides of the glass ribbon is the same 'so the density is only a function of temperature. Therefore, the pressure difference between the belts of the formula (7) can be expressed as: (10)) - household 2ω =

gMP 一 RgMP-R

y J L^2(y) Φ'\ ¥ 式⑻ 其中: 平均壓力 Ρ 15 201100338 側1上氣體溫度 Tl 側2上氣體溫度 丁2 由式(8)可知,们至側2之屢力差可藉由侧部間的溫 度差而獲得。溫度差可由多種方式獲得,最簡單的方法 就是在帶體一側以高於另一側的功率輸入進行電加熱, 其具有以較高功率加熱帶體該側上之氣體的效果。較高 溫氣體具有較錢度,因此,根據煙自效應,其麼力係 〇 高於較低溫度之氣體。故帶體將從較高溫側弯向較低溫 側(亦即假設其邊緣受限,見第2圖中21所示),其將凹 面面向咼溫側、以及凸面面向低溫側。 種溫度差效應的實例之一係說明於第4圖與第5 圖。在這些圖式與第6-7圖和第8_9圖中,水平軸代表 從殼體底部開始之高度(單位為公尺),右方垂直軸代表 壓力差(Ρ!-Ρ2)(其單位為pa),而左方垂直軸在第4 6、8 圖中代表溫度差(T]-T2)(其單位為。〇、在第5、7、9圖 Ο 中代表密度差(Ρι_Ρ2)(單位為kg/m3)。各圖式中的實線說 明壓力差,而在第4、6、8圖中虛線代表溫度差,在第 5、7、9圖中虛線表示密度差。這些圖式中的水平箭頭 指示了實線與虛線所代表之垂直軸。在第4圖至第9圖 間,計算所用之氣體為空氣,其分子量為28 8kg/km〇1, 而其其他物理特性可得自標準參考依據。 就第4圖至第5圖之情形而言,對帶體之側丨施加較 高功率以於該處獲得較高溫度(例如在第3圖中,y JL^2(y) Φ'\ ¥ (8) where: average pressure Ρ 15 201100338 side 1 gas temperature Tl side 2 gas temperature □ 2 From equation (8), we can see that the difference between the two sides can be borrowed Obtained from the temperature difference between the sides. The temperature difference can be obtained in a number of ways. The simplest method is to electrically heat the side of the strip with a power input higher than the other side, which has the effect of heating the gas on the side of the strip at a higher power. Higher temperature gases are more expensive, so depending on the smoke self-effect, the force is higher than the lower temperature gas. Therefore, the strip will be bent from the higher temperature side to the lower temperature side (i.e., assuming its edge is limited, as shown by 21 in Fig. 2), which faces the concave side and the convex side toward the low temperature side. One example of a temperature difference effect is illustrated in Figures 4 and 5. In these figures and Figures 6-7 and 8_9, the horizontal axis represents the height from the bottom of the housing (in meters), and the right vertical axis represents the pressure difference (Ρ!-Ρ2) (in units Pa), while the left vertical axis represents the temperature difference (T]-T2 in Figures 4 and 8 (the unit is 〇, which represents the density difference (第ι_Ρ2) in the 5th, 7th, and 9th ( (unit It is kg/m3). The solid line in each figure illustrates the pressure difference, while in the 4th, 6th, and 8th figures, the broken line represents the temperature difference, and the lines in the 5th, 7th, and 9th lines indicate the density difference. In these figures The horizontal arrow indicates the vertical axis represented by the solid line and the dotted line. Between the 4th and 9th figures, the gas used for calculation is air with a molecular weight of 28 8kg/km〇1, and other physical properties are available. Standard Reference Basis. For the case of Figures 4 to 5, a higher power is applied to the side turns of the strip to obtain a higher temperature there (for example, in Figure 3,

Tlw(y)>T2w(y),因此 TKy^Ky),其中 Tlw(y)與 T2W(y) 201100338 為壁體'度’而Tl(y)與T2(y)為氣體溫度),在側1上之 較咼溫度僅位於殼體的最下方部分中。或者是,對側2 施加較低功率、或將相對冷卻氣體注入側2中,以於此 側達成相對較高之平均密度。由於壓力為整體密度之函 數,即使溫度差僅落於殼體的最下方部分中,一旦形成 之壓力差係向上延伸通過殼體之終止處。此效應係由第 4圖與第5圖中壓力曲線的平坦部分加以說明。Tlw(y)>T2w(y), thus TKy^Ky), where Tlw(y) and T2W(y) 201100338 are wall 'degrees' and Tl(y) and T2(y) are gas temperatures), The helium temperature on side 1 is only in the lowermost portion of the housing. Alternatively, a lower power is applied to side 2 or a relative cooling gas is injected into side 2 to achieve a relatively higher average density on this side. Since the pressure is a function of the overall density, even if the temperature difference falls only in the lowermost portion of the casing, once the pressure difference is formed, it extends upward through the end of the casing. This effect is illustrated by the flat portion of the pressure curve in Figures 4 and 5.

右僅需要在殼體的一部分中出現壓力差,則密度差可 於最初DDZ上方反向以獲得—第三垂直地較高DDz, 其消除了下方區中的壓力差。此—配置係繪示於第6圖 與第7圖中。如這些圖式所示,溫度約每〇5公尺上升(較 低DDZ),然後約每i公尺下降(較高DDZ),上升與下降 係勺同等大小。相對於側2,在4則1之氣體密度係於較 低DDZ中降低,導致相對壓力因㈣效應而上升。在較 高DDZ中,側1上之密度係相對於側2而增加,導致相 對壓力再次因煙囱效應而下降。在此方式中,可於殼體 的有限長度上方得到側1與侧2之間的正壓力差。 得到殼體兩侧間溫度差的第二種方式是,使氣體於一 側或另一侧上流動,或更一般而言,在兩側上提供一氣 體流量差。舉例而言,若在帶體一側(而非另一側)之殼 體之側部或頂部上放置一孔洞(孔徑),氣體將於該側(而 非另一侧)因煙自效應於底部流動並且向上,由該側上 之孔洞流出。再次注意帶體並非完美隔板,因此在不含 孔洞的那側上仍有氣體流動,但其必小於具有孔洞之= 17 201100338 動。就另一替代例而言,可利用風扇、幫浦、及/ =設備(例如流量控制器)來主動調整在帶體兩側上 的私體流量,以達到所需的流速差。 Ο 〇 :管藉由何種方式達到不同流速,在具有相對較高流 :的-侧上’因為需要來自玻璃與殼體結構的功率(例如 =體的加熱器線圈)以增加氣體溫度,所以該處之氣 體係處於較低溫度。而在—非流動側(或較不流動側) 上,則因不需功率(或需較低功率),所以氣體的溫度較 南。在流動側(假設是側2)上的空氣溫度估算模型如下: iTM-^iT2(y)-Tw(y)h〇 P 式(9) 其中 ^傳係數 h 玻璃與殼體壁體溫度 τ 1 w 侧2上之氣體流率 % 氣體熱容量 e 求解此式中T2(y) ’得出流動側中溫度為y之函數,將 其帶入式(8)中而得到兩側間壓力差。若側】也有流動, 則可對此側應用類似於式(9)的等式,•然後用於式(8)。 第8圖與第9圖說明了可由側2上之流動而獲得之溫 度與壓力差之實例。熱傳係數h與流率^的值分別為 / κ與〇.〇〇lkg/see/m。如圖所示,可獲得實質溫 18 201100338 度差與實質密度差,使得煙囪效應於側1與側2之間獲 得實質壓力差(P0P2)。 應注意的是,雖然難以直接測量氣體密度,但可簡單 地進行間接測量’以決定是否於拉伸塔中使用DDZ。具 體而言’若在帶體兩侧的氣體是相同的,則可利用量測 帶體兩侧上之氣體溫度以標準方法計算氣體密度。可由 殼體各側上之氣體密度對高度關係圖清楚顯示存在一或 ◎ 多個DDZ。在此情況中,無論氣體是否具有流動皆然。 當一側上之氣體成分與另一侧不同時,係利用在數個高 度處所測量之溫度與成分來計算密度分佈。具體而言, 以標準方法自溫度與成分資料計算出密度,由密度對高 度之圖表再次顯示存在一或多個DDZ。 將溫度量測轉換為密度量測(或將溫度與成分量測轉 換為密度量測)的標準方法可簡化為參照大部分參考文 獻中的密度表(例如在不同温度下之空氣密度表),或在 Ο 使用較少被完整研究之氣體時需要建構出如此的密度 表。可為此使用模型(例如經驗模式)。舉例而言,在某 些例子中理想氣體定律可適用於將溫度及/或成分量測 轉換為密度值。根據此應用,在密度測定中也可併入壓 力資訊。 應注意煙囪效應係作用於玻璃帶體上不同壓縮力/張 力效應之相反方向,因此造成帶體厚度間之溫度差。重 要的是,煙囪效應比壓力/張力效應強了許多倍,以下分 析說明此差異。 19 201100338 依下式可由帶體厚度間的溫度差製造弓弧: 〇cATrw^The right only needs to have a pressure differential in a portion of the housing, and the difference in density can be reversed over the initial DDZ to obtain a third vertically higher DDz that eliminates the pressure differential in the lower region. This—configuration is shown in Figures 6 and 7. As shown in these figures, the temperature rises about 5 meters per ton (lower DDZ) and then decreases about every i-meter (higher DDZ), and the rise and fall are the same size. Relative to Side 2, the gas density at 4 is reduced in the lower DDZ, causing the relative pressure to rise due to the (IV) effect. In the higher DDZ, the density on side 1 increases relative to side 2, causing the relative pressure to again decrease due to the chimney effect. In this manner, a positive pressure differential between side 1 and side 2 can be obtained over a finite length of the housing. A second way to obtain a temperature difference between the two sides of the housing is to allow the gas to flow on one side or the other, or more generally, to provide a difference in gas flow on both sides. For example, if a hole (aperture) is placed on the side or top of the shell on one side of the strip (rather than the other side), the gas will be on the side (rather than the other side) due to the smoke self-effect. The bottom flows and rises, flowing out of the holes in the side. Again, note that the strip is not a perfect spacer, so there is still gas flow on the side that does not contain the hole, but it must be smaller than the one with holes = 17 201100338. In another alternative, fans, pumps, and / = devices (such as flow controllers) can be utilized to actively adjust the private flow on both sides of the strip to achieve the desired flow rate difference. Ο 〇: How the tube reaches different flow rates, on the side with a relatively high flow: 'Because the power from the glass and the shell structure is required (eg heater coil of the body) to increase the gas temperature, so The gas system there is at a lower temperature. On the non-flow side (or less flow side), the temperature of the gas is souther because no power is required (or lower power is required). The air temperature estimation model on the flow side (assumed to be side 2) is as follows: iTM-^iT2(y)-Tw(y)h〇P Equation (9) where ^^ coefficient h glass and shell wall temperature τ 1 w Gas flow rate % on side 2 Gas heat capacity e Solve T2(y) in this equation 'Get a function of temperature in the flow side as y, and bring it into equation (8) to get the pressure difference between the two sides. If there is also a flow on the side, an equation similar to equation (9) can be applied to this side, and then used in equation (8). Figures 8 and 9 illustrate examples of temperature and pressure differentials that can be obtained from the flow on side 2. The values of the heat transfer coefficient h and the flow rate ^ are / κ and 〇.〇〇lkg/see/m, respectively. As shown, a substantial temperature difference of 18 201100338 and a substantial density difference can be obtained, so that the chimney effect achieves a substantial pressure difference (P0P2) between side 1 and side 2. It should be noted that although it is difficult to directly measure the gas density, indirect measurement can be simply performed to determine whether or not to use DDZ in the drawing tower. Specifically, if the gases on both sides of the strip are the same, the gas density can be calculated by standard methods using the gas temperatures on both sides of the strip. The presence or absence of one or more DDZs can be clearly indicated by the gas density versus height relationship on each side of the housing. In this case, whether or not the gas has a flow. When the gas composition on one side is different from the other side, the density distribution is calculated using the temperature and composition measured at several heights. Specifically, the density is calculated from the temperature and composition data in a standard manner, and the density versus height graph again shows the presence of one or more DDZs. Standard methods for converting temperature measurements to density measurements (or converting temperature and component measurements to density measurements) can be simplified to refer to density tables in most references (eg, air density tables at different temperatures), Or you need to construct such a density meter when using less fully studied gas. Models can be used for this (eg empirical mode). For example, in some cases the ideal gas law can be applied to convert temperature and/or component measurements to density values. According to this application, pressure information can also be incorporated in the density measurement. It should be noted that the chimney effect acts on the opposite direction of the different compressive/tension effects on the glass ribbon, thus causing a temperature difference between the thicknesses of the strips. Importantly, the chimney effect is many times stronger than the pressure/tension effect, and the following analysis illustrates this difference. 19 201100338 According to the following formula, the bow arc can be made by the temperature difference between the strip thickness: 〇cATrw^

式(10) 其中α為帶體材料的熱膨脹係數(CTE),△ Tr為帶體 間溫度差(其中熱側係帶體的凸面側)。 〇 f際上,Δτ>·為製程條件的函數。當帶體每側上均為 空氣、且當兩侧上之空氣溫度不同時,帶體間的溫度差 可表示如下式:Equation (10) where α is the coefficient of thermal expansion (CTE) of the strip material, and Δ Tr is the temperature difference between the strips (the convex side of the hot side ligament). 〇f, Δτ>· is a function of the process conditions. When the air is on each side of the strip and the temperature of the air on both sides is different, the temperature difference between the strips can be expressed as follows:

h h+^ (Ά-Τ2)- h h + k Δ7;- 式(11) 其中h為空氣與帶體間的熱傳係數,k為帶體的有效 導熱率(包含輻射效應)。如上所述,在帶體兩侧上的溫 度為乃與Τ'2’而帶體厚度為t。 消去帶體表面間之溫度差,得出: —Δ7;_2 =— m 式(12) ' Ik、 1+— ,ht j 20 201100338 故 在大部分生產情形中,k/ht>>l, AG. k \6b h aw2 式(13)h h+^ (Ά-Τ2)- h h + k Δ7;- (11) where h is the heat transfer coefficient between air and the strip, and k is the effective thermal conductivity of the strip (including the radiation effect). As described above, the temperature on both sides of the belt is Τ'2' and the thickness of the belt is t. Eliminate the temperature difference between the surface of the strip and obtain: - Δ7; _2 = - m (12) ' Ik, 1+ - , ht j 20 201100338 Therefore, in most production situations, k / ht > gt; AG. k \6b h aw2 (13)

就實際情況而言’ k=3.5W/m/0K、 =2500mm、a =3.5ppm/KIn the actual case, 'k=3.5W/m/0K, =2500mm, a=3.5ppm/K

-2〇 w/m2,〇K 大小之 因此’為達到兩公分 弓弧(b = 20mm)所需之溫度差為: 刀 Ο k 16b h aw2 2560尺 式(14) 其明顯超出溫度差的有效範圍,相較之下 8圖中的溫度差小了 1〇〇倍。 ’第4、6、 由前述可知,其提供了用於向下拉伸式破 、 (例如熔解成形程序)中控制帶體形狀的方法,成形程序 藉由利用煙囪效應來改變帶體各側上此控制係 Ο 的m + dx 、太l 乳體(例如空氣) *壓力來達成。該壓力並非以流量來操押 oj χ ^ &quot;· 而是以溫度 來操控,該成分係改變氣體密度、繼而改變帶 =側上氣體柱之重力頭來操控遷力。在氣體溫度與氣 成为間:最好是以溫度來操控壓力,例如利用電加熱 二圈、或藉由在靠近一側或另一侧之帶體上注入冷或熱 空氣。實際上’所需之溫度差係可輕易實現。因;體: =如滾句係沿著帶體邊緣排列,使得氣體壓力可驅 動帶體頂住該限制,並使帶體侧向彎曲。 透過使用這些方法’可以最少的帶體實體限制來維持 21 201100338 弓弧形狀,因而可獲得最大容限之製程變數。此外,執 行這些方法的設備相當簡單、不昂貴、且堅固可靠。帶 體對於製程變數的穩定度係大於先前技術中所可實現 者。 由前述說明,該領域技術人士可明顯得知各種不脫離 本發明之範與精神的修佛例。舉例而言,雖然上述實 例皆假設在拉伸塔的長度上方之該子空間的截面積保持 Q 為固定’但此分析也可延伸應用至截面積隨高度變化之 系統。如附申請專利範圍係涵蓋本文所提之具體實施例 以及該實施例及其他型式之修飾例、變化例與等效例。 【圖式簡單說明】 第1圖係根據一示例實施例之熔解玻璃製造設備的示 意截面圖β 第2圖說明在進行因帶體一側上之壓力所致之彎曲分 析中所使用的分析幾何圖與各種定義。 第3圖為煙囪效應分析中所使用之幾何圖的示奄 面 p^4 va/ 撞j 〇 第4圖為藉由帶體間之步階溫差(虛線)所獲得之 之計算壓力曲線(實線)圖,步階溫差係位於殼體(拉伸塔) 底部β 第5圖重複帛4®之計算壓力曲線(實線),同時說明 藉由步階溫差所獲得之氣體密度差。 ° 22 201100338 第6圖為藉由帶體間之先上升再下降之半咖 卜降之步階溫差(虛線) 所獲得之二DDZ之計算壓力曲線(實線)圖,第一步階溫 差係位於殼體(拉伸塔)底部’而第二步階溫差隨即位: 第一步階溫差之上。 第7圖重複第6圖之計算壓力曲線(實線),同時說明 藉由步階溫差所獲得之氣體密度差。 第8圖為藉由在帶體二侧之氣體流速差所產生之溫度-2〇w/m2, 〇K size is therefore the temperature difference required to achieve a two-centimeter arc (b = 20mm): Knife k 16b h aw2 2560 rule (14) Effectively beyond the temperature difference The range is 10 times smaller than the temperature difference in the 8 graph. '4, 6, as known from the foregoing, it provides a method for controlling the shape of a strip in a downward stretch, (for example, a melt forming process), which is modified on each side of the strip by utilizing the chimney effect. This control system is achieved by m + dx , too l milk (eg air) * pressure. The pressure is not manipulated by the flow rate oj χ ^ &quot;· but is manipulated by temperature, which changes the gas density and then changes the gravity head of the gas column on the side of the belt to manipulate the displacement. Between the gas temperature and the gas: it is preferred to control the pressure by temperature, for example by electric heating for two turns, or by injecting cold or hot air onto the belt near one side or the other. In fact, the required temperature difference can be easily achieved. Body: = If the roller is arranged along the edge of the strip, the gas pressure can drive the strip against the limit and bend the strip laterally. By using these methods, the shape of the bow can be maintained with a minimum of the physical limit of the band, so that the maximum tolerance process variable can be obtained. In addition, the equipment to perform these methods is relatively simple, inexpensive, and robust. The stability of the tape to the process variables is greater than that achievable in the prior art. From the foregoing description, it will be apparent to those skilled in the <RTIgt; For example, although the above examples assume that the cross-sectional area of the subspace above the length of the draw tower maintains Q constant, the analysis can be extended to systems where the cross-sectional area varies with height. The specific scope of the invention, as well as the modifications, variations and equivalents of the embodiments and other examples, are included in the appended claims. BRIEF DESCRIPTION OF THE DRAWINGS FIG. 1 is a schematic cross-sectional view of a molten glass manufacturing apparatus according to an exemplary embodiment. FIG. 2 illustrates analytical geometry used in performing bending analysis due to pressure on one side of a belt body. Figures and various definitions. Figure 3 shows the geometry of the geometry used in the chimney effect analysis. p^4 va/ collision j 〇 Figure 4 is the calculated pressure curve obtained by the step temperature difference between the bands (dotted line). Line), the step temperature difference is located at the bottom of the shell (stretching tower) β Figure 5 repeats the calculated pressure curve (solid line) of 帛4®, and also shows the gas density difference obtained by the step temperature difference. ° 22 201100338 Figure 6 is the calculated pressure curve (solid line) of the second DDZ obtained by the first step of the rise and then fall of the half-gap step (dotted line), the first step temperature difference system Located at the bottom of the casing (stretching tower) and the second step temperature difference is in place: above the first step temperature difference. Fig. 7 repeats the calculated pressure curve (solid line) of Fig. 6, and also shows the difference in gas density obtained by the step temperature difference. Figure 8 shows the temperature generated by the difference in gas flow rates on both sides of the strip.

差(虚線)在帶體間所獲得之一 DDZ之計算壓力曲線(實 線)圖。 第9圖重複第8圖之計算壓力曲線(實線)’同時說明 藉由氣體流速差所獲得之氣體密度差。 【主要元件符號說明】 3 隔離管 5 槽體 7 堰體 9 熔化玻璃 11 根部 13 帶體 17 壁體 19 片材分離設備 21 限制 23 殼體 25 第一子空間 27 第—子空間 29 内部空間 31 底部 23Difference (dotted line) A calculated pressure curve (solid line) of one of DDZ obtained between the strips. Fig. 9 repeats the calculation of the pressure curve (solid line) of Fig. 8 and also shows the difference in gas density obtained by the difference in gas flow rate. [Main component symbol description] 3 Isolation tube 5 Tank 7 Carcass 9 Melting glass 11 Root 13 Strip body 17 Wall 19 Sheet separating device 21 Restriction 23 Housing 25 First subspace 27 First subspace 29 Internal space 31 Bottom 23

Claims (1)

201100338 七、申請專利範圍·· !•-種用於控制由-下拉程序所製成之一垂直玻璃帶 體之弓弧的方法,包含以下步驟·· (a) 使該帶體通過一充氣垂直殼體,其中: (1) 該殼體包含一定義一内部空間之壁體, (η)該内部空間的底部係開放,使得在底部之壓 力為周圍大氣的塵力,以及 Q (111)該帶體作為一隔板,其將該殼體的内部空間 分割為一第一子空間與一第二子空間; (b) 藉由(i)在該帶體之該第一子空間侧上的氣體之平 均密度與(ii)在該帶體之該第二子空間側上的氣 體之平均密度之間,沿著該殼體長度之一垂直區 上方獲得的一差額,在該第一子空間與該第二子 空間中沿著該殼體之至少一部分的長度產生一正 壓差,其中在該帶體之該第一子空間側上的平均 D 密度小於在該帶體之該第二子空間侧上的平均密 度,及 (c) 限制該帶體之邊緣,以避免該等邊緣移入該第二 子空間的至少垂直區上方。 2.如申請專利範圍第1項所述之方法,其中在該帶體 的該第一與第二子空間侧上的該等氣體的該等平均密度之 間在該垂直區上方之該差額,係在該帶體的該第一與第 24 201100338 二子空間側上的該等氣體在該垂直區上方之一成分差異造 成之結果。 3. 如申請專利範圍第!項所述之方法,其中在該帶體 的該第一與第二子空間側上的該等氣體的該等平均密度之 間,在該垂直區上方之該差額,係在該帶體的該第一與第 一子空間側上的該等氣體在該垂直區上方之一平均溫度差 造成之結果,其中在該帶體之該第—子空間側上的該平均 溫度大於在該帶體之該第二子空間側上的該平均溫度。 4. 如申請專利範圍第3項所述之方法,其中該平均溫 度差係在該帶體之該第一子空間侧上的該殼體壁體之内表 面的該平均溫度,與在該帶體之該第二子空間側上的該殼 體壁體之内表面的該平均溫度,在該垂直區内沿該殼體的 至少一截面的内周圍的一平均溫度差Q 〇 5. 如申請專利範圍第i項所述之方法’其中在該帶體 的該第一與第二子空間側上的該等氣體之該等平均密度之 間,在該垂直區上方之差額,係在該帶體的該第一與第二 子空間側上之該等氣體在垂直區上方之—平均流速差造成 的結果,在該帶體之該第一子空間侧上之該氣體之該平均 流速小於在該帶體之該第二子空間側上之該氣體的該平均 流速。 25 201100338 6·如申請專利範圍第5項所述之方法, 速差係在位於該垂直區之中間平面上方的位置處,由= 子空間離開至周圍大氣之氣體量差額造成的結果。X 〇 7.如申請專利範圍第6項所述之方法,其中由該二子 空間離開至該周圍大氣之該等氣體量差額,係在位於該垂 直區之該中間平面上方一位置處,由在該帶體之該第二子 空間側上的該殼體壁體中所形成之至少一孔徑造成的結 果。201100338 VII. Patent application scope ··•• A method for controlling the arc of a vertical glass ribbon made by the pull-down procedure, including the following steps: (a) passing the belt through an inflation vertical a housing, wherein: (1) the housing includes a wall defining an interior space, (η) the bottom of the interior space is open such that the pressure at the bottom is the dust of the surrounding atmosphere, and Q (111) The strip body serves as a partition which divides the inner space of the housing into a first subspace and a second subspace; (b) by (i) on the side of the first subspace of the strip Between the average density of the gas and (ii) the average density of the gas on the second subspace side of the strip, a difference obtained above a vertical region of the length of the housing, in the first subspace Forming a positive pressure difference with the length of at least a portion of the housing in the second subspace, wherein an average D density on the first subspace side of the strip is less than the second sub The average density on the space side, and (c) limit the edge of the strip to avoid Etc. into the edge region of the vertical over at least a second sub-space. 2. The method of claim 1, wherein the difference between the average densities of the gases on the first and second subspace sides of the strip is above the vertical region, The result of a difference in composition of the gases above the vertical region on the first and the 24th 201100338 two subspace sides of the strip. 3. If you apply for a patent scope! The method of the present invention, wherein the difference between the average density of the gases on the first and second subspace sides of the strip, the difference above the vertical region, is in the strip a result of an average temperature difference between the first and first subspace sides of the gas above the vertical region, wherein the average temperature on the first subspace side of the strip is greater than the strip The average temperature on the side of the second subspace. 4. The method of claim 3, wherein the average temperature difference is the average temperature of the inner surface of the housing wall on the first subspace side of the strip, and the strip The average temperature of the inner surface of the housing wall on the second subspace side of the body, an average temperature difference Q 〇5 in the vertical region along the inner circumference of at least one section of the housing. The method of claim i, wherein between the average densities of the gases on the first and second subspace sides of the strip, the difference above the vertical region is in the strip As a result of the difference in average flow velocity of the gases on the first and second subspace sides of the body above the vertical region, the average flow rate of the gas on the first subspace side of the strip is less than The average flow rate of the gas on the second subspace side of the strip. 25 201100338 6. The method of claim 5, wherein the speed difference is a result of a difference in the amount of gas leaving the sub-space to the ambient atmosphere at a position above the mid-plane of the vertical zone. The method of claim 6, wherein the difference in the amount of the gas leaving the ambient atmosphere from the two sub-spaces is at a position above the intermediate plane of the vertical zone, The result of at least one aperture formed in the housing wall on the second subspace side of the strip. 2626
TW099119520A 2009-06-17 2010-06-15 Control of the bow of a glass ribbon TWI461373B (en)

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
US12/486,236 US8113015B2 (en) 2009-06-17 2009-06-17 Control of the bow of a glass ribbon

Publications (2)

Publication Number Publication Date
TW201100338A true TW201100338A (en) 2011-01-01
TWI461373B TWI461373B (en) 2014-11-21

Family

ID=43353104

Family Applications (1)

Application Number Title Priority Date Filing Date
TW099119520A TWI461373B (en) 2009-06-17 2010-06-15 Control of the bow of a glass ribbon

Country Status (5)

Country Link
US (1) US8113015B2 (en)
JP (1) JP4967046B2 (en)
KR (1) KR101780812B1 (en)
CN (1) CN101928100B (en)
TW (1) TWI461373B (en)

Families Citing this family (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2011102175A1 (en) * 2010-02-18 2011-08-25 日本電気硝子株式会社 Manufacturing method for glass film and manufacturing device therefor
JP5614171B2 (en) * 2010-08-23 2014-10-29 日本電気硝子株式会社 Manufacturing method of glass plate
CN102992591B (en) * 2012-11-09 2015-05-27 陕西彩虹电子玻璃有限公司 Control method of molding shape in glass base plate production
US9187365B2 (en) 2013-02-25 2015-11-17 Corning Incorporated Methods for measuring the asymmetry of a glass-sheet manufacturing process
JP6321686B2 (en) * 2013-02-28 2018-05-09 コーニング インコーポレイテッド Glass ribbon cooling method in fusion draw
US9634349B2 (en) 2015-04-13 2017-04-25 Corning Incorporated High silica content substrate such as for use in thin-film battery
WO2018098125A1 (en) 2016-11-23 2018-05-31 Corning Incorporated Method and apparatus for glass ribbon thermal control

Family Cites Families (32)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US2002544A (en) * 1934-09-08 1935-05-28 American Window Glass Co Annealing sheet glass
US2608798A (en) * 1945-08-20 1952-09-02 Libbey Owens Ford Glass Co Method and apparatus for producing sheet glass
US3506429A (en) * 1967-01-03 1970-04-14 Corning Glass Works Apparatus for improving thickness uniformity in down drawn glass sheet
US3563719A (en) * 1967-10-02 1971-02-16 Ppg Industries Inc Sheet glass drawing method and apparatus
BE786111A (en) * 1971-08-20 1973-01-11 Glaverbel
JP2000044278A (en) * 1998-05-20 2000-02-15 Nippon Electric Glass Co Ltd Glass substrate for display
US7681414B2 (en) * 2001-08-08 2010-03-23 Corning Incorporated Overflow downdraw glass forming method and apparatus
WO2003014032A1 (en) * 2001-08-08 2003-02-20 Richard Pitbladdo Sheet glass forming apparatus
US7260959B2 (en) 2004-08-27 2007-08-28 Corning Incorporated Glass handling system and method for using same
US20060042314A1 (en) 2004-08-27 2006-03-02 Abbott John S Iii Noncontact glass sheet stabilization device used in fusion forming of a glass sheet
US20070062219A1 (en) * 2005-09-22 2007-03-22 Blevins John D Methods of fabricating flat glass with low levels of warp
US20070140311A1 (en) * 2005-12-20 2007-06-21 House Keith L Method and apparatus for characterizing a glass ribbon
US7685840B2 (en) * 2006-03-24 2010-03-30 Corning Incorporated Method of minimizing distortion in a sheet of glass
JP5330245B2 (en) * 2006-09-20 2013-10-30 コーニング インコーポレイテッド Shape-induced in-plane stress temperature compensation of glass substrates
JP5076443B2 (en) * 2006-10-24 2012-11-21 日本電気硝子株式会社 Glass ribbon manufacturing apparatus and manufacturing method thereof
US20090314032A1 (en) 2006-10-24 2009-12-24 Nippon Electric Glass Co., Ltd Glass ribbon producing apparatus and process for producing the same
JP5177790B2 (en) 2006-10-24 2013-04-10 日本電気硝子株式会社 Glass ribbon manufacturing apparatus and manufacturing method thereof
US7818980B2 (en) 2006-11-30 2010-10-26 Corning Incorporated Forming glass sheets with improved shape stability
US7895861B2 (en) 2007-05-09 2011-03-01 Corning Incorporated Conformable nosing device for reducing motion and stress within a glass sheet while manufacturing the glass sheet
US8051681B2 (en) 2007-05-09 2011-11-08 Corning Incorporated Constant force scoring device and method for using same
WO2008147558A1 (en) 2007-05-25 2008-12-04 Corning Incorporated Apparatus for handling a glass sheet
CN101125727B (en) * 2007-07-19 2010-07-14 同济大学 Ultra-thin flat plate glass ligula die clearance diffluence method pull-down forming device
WO2009081740A1 (en) * 2007-12-25 2009-07-02 Nippon Electric Glass Co., Ltd. Process and apparatus for producing glass plate
JP5428288B2 (en) * 2007-12-25 2014-02-26 日本電気硝子株式会社 Glass plate manufacturing method and manufacturing equipment
JP5327702B2 (en) * 2008-01-21 2013-10-30 日本電気硝子株式会社 Manufacturing method of glass substrate
JP5691148B2 (en) * 2008-10-01 2015-04-01 日本電気硝子株式会社 Glass roll, glass roll manufacturing apparatus, and glass roll manufacturing method
US8899078B2 (en) * 2008-11-26 2014-12-02 Corning Incorporated Glass sheet stabilizing system, glass manufacturing system and method for making a glass sheet
US8146388B2 (en) * 2009-10-29 2012-04-03 Corning Incorporated Low friction edge roll to minimize force cycling
US8528364B2 (en) * 2010-01-08 2013-09-10 Corning Incorporated Active edge roll control in a glass drawings process
WO2011102175A1 (en) * 2010-02-18 2011-08-25 日本電気硝子株式会社 Manufacturing method for glass film and manufacturing device therefor
JP5720885B2 (en) * 2010-03-03 2015-05-20 日本電気硝子株式会社 Glass roll and method for producing glass roll
JP2011190132A (en) * 2010-03-12 2011-09-29 Nippon Electric Glass Co Ltd Glass roll and method for producing the same

Also Published As

Publication number Publication date
JP2011001261A (en) 2011-01-06
TWI461373B (en) 2014-11-21
KR101780812B1 (en) 2017-09-21
JP4967046B2 (en) 2012-07-04
US8113015B2 (en) 2012-02-14
CN101928100B (en) 2014-06-18
US20100319402A1 (en) 2010-12-23
CN101928100A (en) 2010-12-29
KR20100135678A (en) 2010-12-27

Similar Documents

Publication Publication Date Title
KR101372655B1 (en) Method of making a glass sheet using controlled cooling
TW201100338A (en) Control of the bow of a glass ribbon
US9598301B2 (en) Temperature control of glass ribbons during forming
KR20090082359A (en) Temperature compensation for shape-induced inplane stresses in glass substrates
JP5952311B2 (en) Glass substrate manufacturing method and glass substrate manufacturing apparatus
TWI766041B (en) Method for controlling compaction
JP2014125363A (en) Glass substrate production apparatus, and production method of glass substrate for display
CN103922567A (en) Device for manufacturing glass plate
TW201139305A (en) Production method for glass plate and glass plate
CN114394736B (en) Device and method for controlling bending degree of substrate glass molding
WO2022131205A1 (en) Glass article production apparatus
JP2017048102A (en) Manufacturing method of glass substrate, and manufacturing apparatus of glass substrate

Legal Events

Date Code Title Description
MM4A Annulment or lapse of patent due to non-payment of fees